Comparing decimals and fractions worksheet with number line and comparison symbols.

Explanation:
Let’s solve each part step by step.

Part 1: Comparing Decimals (Use <, >, or =)

1. 0.4 vs 0.7
Compare the tenths place: 0.4 has 4 tenths, 0.7 has 7 tenths.
Since 4 < 7, then 0.4 < 0.7

2. 0.32 vs 0.03
0.32 = 32 hundredths
0.03 = 3 hundredths
32 > 3 → 0.32 > 0.03

3. 0.5 vs 0.50
0.5 is the same as 0.50 (adding a zero at the end doesn’t change value).
So 0.5 = 0.50

4. 0.9 vs 0.06
0.9 = 90 hundredths
0.06 = 6 hundredths
90 > 6 → 0.9 > 0.06

5. 0.45 vs 0.8
Write 0.8 as 0.80 to compare hundredths:
0.45 = 45 hundredths
0.80 = 80 hundredths
45 < 80 → 0.45 < 0.8

6. 0.1 vs 0.9
Tenths: 1 < 9 → 0.1 < 0.9

✔ So far:
1. <
2. >
3. =
4. >
5. <
6. <

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Part 2: Label number line using fractions as decimals, then compare

Number line from 0 to 1, with 10 equal marks → each mark is 1/10 = 0.1.

Fractions given:
- 3/10 = 0.3
- 8/10 = 0.8
- 9/10 = 0.9
- 5/10 = 0.5

Now compare:

- 3/10 ○ 8/10 → 0.3 ○ 0.8 → 0.3 < 0.8 → <
- 9/10 ○ 5/10 → 0.9 ○ 0.5 → 0.9 > 0.5 → >
- 0.7 ○ 0.02 → 0.7 = 70 hundredths, 0.02 = 2 hundredths → 70 > 2 → >
- 0.60 ○ 0.1 → 0.60 = 0.6, 0.1 = 0.1 → 0.6 > 0.1 → >

Double-check:
- 0.60 is the same as 0.6 — yes.
- 0.7 is definitely bigger than 0.02 — yes.

So comparisons:
- 3/10 < 8/10
- 9/10 > 5/10
- 0.7 > 0.02
- 0.60 > 0.1

All correct.

Final Answer:
1. <
2. >
3. =
4. >
5. <
6. <
3/10 < 8/10
9/10 > 5/10
0.7 > 0.02
0.60 > 0.1